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Finding the Fourth Proportional to 3,663.69, 5,496.36 and 1,198.68

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Solution

The fourth proportional to 3,663.69, 5,496.36 and 1,198.68 is: 1,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.69 : 5,496.36 = 1,198.68 : x
  2. Step 2: Convert to fraction form
    3,663.69/5,496.36 = 1,198.68/x
  3. Step 3: Cross multiply
    3,663.69x = 5,496.36 × 1,198.68
  4. Step 4: Simplify right side
    3,663.69x = 6,588,376.80
  5. Step 5: Solve for x
    x = 6,588,376.80/3,663.69
  6. Step 6: Final answer
    x = 1,798.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.